18677314656 has 1152 divisors, whose sum is σ = 78301956096. Its totient is φ = 4060938240.

The previous prime is 18677314637. The next prime is 18677314661. The reversal of 18677314656 is 65641377681.

18677314656 is a `hidden beast` number, since 1 + 86 + 77 + 31 + 465 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181333101 + ... + 181333203.

It is an arithmetic number, because the mean of its divisors is an integer number (67970448).

Almost surely, 2^18677314656 is an apocalyptic number.

18677314656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18677314656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39150978048).

18677314656 is an abundant number, since it is smaller than the sum of its proper divisors (59624641440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18677314656 is a wasteful number, since it uses less digits than its factorization.

18677314656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

It can be divided in two parts, 18677 and 314656, that added together give a palindrome (333333).

The spelling of 18677314656 in words is "eighteen billion, six hundred seventy-seven million, three hundred fourteen thousand, six hundred fifty-six".